SlicePROOF.add_zero_left_part: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend as SlicePROOF
Lines 399-405 of bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&start_line=399&end_line=405

import Base

# A product a * b of 0 with a not 0 has b = 0.
def add_zero_left_part(+b: Nat, +x: Nat, e: {Nat.add(b, x) == 0n : Nat}) -> {b == 0n : Nat}:
  match b:
    case 0n:
      {==}
    case 1n+q:
      Empty.absurd({1n+q == 0n : Nat}, nat_clash(Nat.add(q, x), e))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&name=nat_clash